ln(2x-3)=ln(21)

Simple and best practice solution for ln(2x-3)=ln(21) equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for ln(2x-3)=ln(21) equation: 


Simplifying
ln(2x + -3) = ln(21)

Reorder the terms:
ln(-3 + 2x) = ln(21)
(-3 * ln + 2x * ln) = ln(21)
(-3ln + 2lnx) = ln(21)

Reorder the terms for easier multiplication:
-3ln + 2lnx = 21ln

Solving
-3ln + 2lnx = 21ln

Solving for variable 'l'.

Move all terms containing l to the left, all other terms to the right.

Add '-21ln' to each side of the equation.
-3ln + -21ln + 2lnx = 21ln + -21ln

Combine like terms: -3ln + -21ln = -24ln
-24ln + 2lnx = 21ln + -21ln

Combine like terms: 21ln + -21ln = 0
-24ln + 2lnx = 0

Factor out the Greatest Common Factor (GCF), '2ln'.
2ln(-12 + x) = 0

Ignore the factor 2.

Subproblem 1
Set the factor 'ln' equal to zero and attempt to solve:

Simplifying
ln = 0

Solving
ln = 0

Move all terms containing l to the left, all other terms to the right.

Simplifying
ln = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(-12 + x)' equal to zero and attempt to solve:

Simplifying
-12 + x = 0

Solving
-12 + x = 0

Move all terms containing l to the left, all other terms to the right.

Add '12' to each side of the equation.
-12 + 12 + x = 0 + 12

Combine like terms: -12 + 12 = 0
0 + x = 0 + 12
x = 0 + 12

Combine like terms: 0 + 12 = 12
x = 12

Add '-1x' to each side of the equation.
x + -1x = 12 + -1x

Combine like terms: x + -1x = 0
0 = 12 + -1x

Simplifying
0 = 12 + -1x

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

See similar equations:

| (x+116)=5x | | 5+2x=7+1x | | 7t^2+28t-50=0 | | b^2-b-56=0 | | -7k+174=14k+69 | | -3(4i)(4-7i)=0 | | 2(x-6)=3x+3 | | 5+1x=7+1x | | 12+3y=30 | | 2c+4=x-3 | | 2x+2=7x-38 | | -5(x-4)+7(-3x+1)= | | 2(2x-6)=x+3 | | .2-.3y=.6 | | -2(-4-6x)-(12+8x)=6x-4x | | 1200=2xy | | 5-2(x)=12 | | 2q-1=13 | | .5+4y=-1 | | 20X-12(-2)=64 | | -g+2(3+9)=-4(9+1) | | 2-3/4x=5/8x | | (-6i)(-7-4i)+6(-6i)=0 | | 4-9y=18 | | 12x-1=-1+12x | | -9+2(3+9)=-4(9+1) | | (x+11)=(4x-49) | | 7x-2(3x+1)=4x-(-3-x)-19 | | 4x+3=-2x+11 | | 7-5y=-35 | | 5(2g-4)=90 | | 9y-7y=10 |

Equations solver categories